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Finding the Fourth Proportional to 266,414, 399,611.80 and 66,736.12

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Solution

The fourth proportional to 266,414, 399,611.80 and 66,736.12 is: 100,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,414 : 399,611.80 = 66,736.12 : x
  2. Step 2: Convert to fraction form
    266,414/399,611.80 = 66,736.12/x
  3. Step 3: Cross multiply
    266,414x = 399,611.80 × 66,736.12
  4. Step 4: Simplify right side
    266,414x = 26,668,541,038.22
  5. Step 5: Solve for x
    x = 26,668,541,038.22/266,414
  6. Step 6: Final answer
    x = 100,101.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.